Yes, but it will not give you anything new: The Wolfram Engine provides
full access to the Wolfram Language (just like Mathematica) via command line
access and executing Wolfram Language scripts.
Wolfram|Alpha and Wolfram Language are two completely different things:
Wolfram|Alpha is a natural language computational engine which takes queries and computes custom answers based on
back-end knowledge databases and a large amount of Wolfram Language algorithms.
Wolfram Language is a computational (programming) language. There is a good 'fast introduction' for it here: